theorem
proved
term proof
scale_ratio
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formal statement (Lean)
31theorem scale_ratio (k : ℕ) : scale (k + 1) / scale k = phi := by
proof body
Term-mode proof.
32 unfold scale
33 have hpos : (0 : ℝ) < phi ^ k := pow_pos phi_pos k
34 rw [div_eq_iff hpos.ne', pow_succ]
35 ring
36